32. Prove that Sin5-sin67+sin77-sin139+sin149=0

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Calculate $\frac{sin 70^{\circ}}{cos 20^{\circ}} + \frac{cosec 36^{\circ}}{sec 54^{\circ}} - 2 cos 43^{\circ} cosec 47^{\circ}$ .

Express sin 67° + cos 75° in terms of trigonometric ratios of angles between 0° and 45°.

s i n 67^{\circ} + c o s 75^{\circ}

0^{\circ}

45^{\circ}

s i n 67^{\circ} + c o s 75^{\circ}

0^{\circ}

45^{\circ}

s i n θ + s i n 3 θ + s i n 5 θ = 0

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